Let $Y(t)=\sum_{n=-\infty}^{\infty} x_{n} h(t-n T)$. We sample $Y(t)$ at time instants $n T / 2$ and let $Y_{n}=Y(n T / 2)$. Which of the following is true?
- $\left\{Y_{n}\right\}$ can be interpreted as the output of a discrete time, linear, time-invariant system with input $\left\{X_{n}\right\}$.
- $\left\{Y_{2 n}\right\}$ can be interpreted as the output of a discrete time, linear, time-invariant system with input $\left\{X_{n}\right\}$.
- $\left\{Y_{2 n+1}\right\}$ can be interpreted as the output of a discrete time, linear, time-invariant system with input $\left\{X_{n}\right\}$.
- Both $a)$ and $b)$ above
- Both $b)$ and $c)$ above